Answer 1 $\text{The angle } \frac{\pi}{3} \text{ is equivalent to } 60^{\circ}.$ $\text{On the unit circle, the coordinates for } 60^{\circ} \text{ are } \left(\frac{1}{2}, \frac{\sqrt{3}}{2}\right).$ $\sin(\frac{\pi}{3}) \text{ is the y-coordinate,...

Answer 1 To find the sine and cosine of $\frac{\pi}{6}$ radians on the unit circle, we need to recall the standard angle values:At $\frac{\pi}{6}$ radians:$cos(\frac{\pi}{6}) = \frac{\sqrt{3}}{2}$$sin(\frac{\pi}{6}) = \frac{1}{2}$Thus, the cosine of...

Answer 1 Consider an angle $ \theta = \frac{7\pi}{6} $ on the unit circle. We need to find the coordinates of the point on the unit circle corresponding to this angle, as well as the sine and cosine values.First, identify the reference angle: $...